Ý tưởng là thử chia số và xem kết quả có phải là số nguyên không. Tuy nhiên, tôi không nhận được kết quả như mong đợi
Làm cách nào để kiểm tra xem số đó có phải là số nguyên không?
Trong 2. x, phép chia như thế này sẽ tạo ra một số nguyên, loại bỏ phần dư;
Trong 3. x, phép chia sẽ tạo ra một giá trị dấu phẩy động; . Xem Tại sao phép chia số nguyên mang lại số float thay vì số nguyên khác?
Nếu bạn cần phần còn lại từ phép chia số nguyên thay vì chỉ kiểm tra tính chia hết, hãy xem Tìm phần còn lại của phép chia của một số
Cho một số, nhiệm vụ là kiểm tra xem số đó có chia hết cho 5 không. Số đầu vào có thể lớn và không thể lưu trữ ngay cả khi chúng ta sử dụng long long int
ví dụ.
Input : n = 56945255 Output : Yes Input : n = 1234567589333150 Output : Yes Input : n = 3635883959606670431112222 Output : No
Đề nghị thực hành
Kiểm tra xem có chia hết cho 5 không
Thử nó
Vì số đầu vào có thể rất lớn, chúng tôi không thể sử dụng n % 5 để kiểm tra xem một số có chia hết cho 5 hay không, đặc biệt là trong các ngôn ngữ như C/C++. Ý tưởng dựa trên thực tế sau đây.
A number is divisible by 5 if its digits last digit will be 0 or 5 .
Hình minh họa.
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.
Cái này hoạt động ra sao?
Let us consider 5335, we can write it as 5335 = 5*1000 + 3*100 + 3*10 + 5 The proof is based on below observation: Remainder of 10i divided by 5 is 0 if i greater than or equal to one. Note than 10, 100, 1000, .. etc lead to remainder 0 when divided by 5. So remainder of " 5*1000 + 3*100 + 3*10 + 5" divided by 5 is equivalent to remainder of following : 0 + 0 + 0 + 5 = 5 Since 5 is divisible by 5, answer is yes.
Dưới đây là việc thực hiện ý tưởng trên
C++
// C++ program to find if a number is
// divisible by 5 or not
#include
using
namespace
A number is divisible by 5 if its digits last digit will be 0 or 5 .0
A number is divisible by 5 if its digits last digit will be 0 or 5 .1
A number is divisible by 5 if its digits last digit will be 0 or 5 .2
A number is divisible by 5 if its digits last digit will be 0 or 5 .3
A number is divisible by 5 if its digits last digit will be 0 or 5 .4
A number is divisible by 5 if its digits last digit will be 0 or 5 .5
A number is divisible by 5 if its digits last digit will be 0 or 5 .6
A number is divisible by 5 if its digits last digit will be 0 or 5 .7
A number is divisible by 5 if its digits last digit will be 0 or 5 .8
A number is divisible by 5 if its digits last digit will be 0 or 5 .9
A number is divisible by 5 if its digits last digit will be 0 or 5 .7
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.1
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.2
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.3
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.4
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.5_______2_______6
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.3
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.8
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.9
Let us consider 5335, we can write it as 5335 = 5*1000 + 3*100 + 3*10 + 5 The proof is based on below observation: Remainder of 10i divided by 5 is 0 if i greater than or equal to one. Note than 10, 100, 1000, .. etc lead to remainder 0 when divided by 5. So remainder of " 5*1000 + 3*100 + 3*10 + 5" divided by 5 is equivalent to remainder of following : 0 + 0 + 0 + 5 = 5 Since 5 is divisible by 5, answer is yes.0
A number is divisible by 5 if its digits last digit will be 0 or 5 .8
Let us consider 5335, we can write it as 5335 = 5*1000 + 3*100 + 3*10 + 5 The proof is based on below observation: Remainder of 10i divided by 5 is 0 if i greater than or equal to one. Note than 10, 100, 1000, .. etc lead to remainder 0 when divided by 5. So remainder of " 5*1000 + 3*100 + 3*10 + 5" divided by 5 is equivalent to remainder of following : 0 + 0 + 0 + 5 = 5 Since 5 is divisible by 5, answer is yes.2
A number is divisible by 5 if its digits last digit will be 0 or 5 .6
A number is divisible by 5 if its digits last digit will be 0 or 5 .7
Let us consider 5335, we can write it as 5335 = 5*1000 + 3*100 + 3*10 + 5 The proof is based on below observation: Remainder of 10i divided by 5 is 0 if i greater than or equal to one. Note than 10, 100, 1000, .. etc lead to remainder 0 when divided by 5. So remainder of " 5*1000 + 3*100 + 3*10 + 5" divided by 5 is equivalent to remainder of following : 0 + 0 + 0 + 5 = 5 Since 5 is divisible by 5, answer is yes.5_______3_______6
Let us consider 5335, we can write it as 5335 = 5*1000 + 3*100 + 3*10 + 5 The proof is based on below observation: Remainder of 10i divided by 5 is 0 if i greater than or equal to one. Note than 10, 100, 1000, .. etc lead to remainder 0 when divided by 5. So remainder of " 5*1000 + 3*100 + 3*10 + 5" divided by 5 is equivalent to remainder of following : 0 + 0 + 0 + 5 = 5 Since 5 is divisible by 5, answer is yes.7
A number is divisible by 5 if its digits last digit will be 0 or 5 .7
Let us consider 5335, we can write it as 5335 = 5*1000 + 3*100 + 3*10 + 5 The proof is based on below observation: Remainder of 10i divided by 5 is 0 if i greater than or equal to one. Note than 10, 100, 1000, .. etc lead to remainder 0 when divided by 5. So remainder of " 5*1000 + 3*100 + 3*10 + 5" divided by 5 is equivalent to remainder of following : 0 + 0 + 0 + 5 = 5 Since 5 is divisible by 5, answer is yes.9
Yes0
Yes1
Yes2_______34_______3_______34_______4
Let us consider 5335, we can write it as 5335 = 5*1000 + 3*100 + 3*10 + 5 The proof is based on below observation: Remainder of 10i divided by 5 is 0 if i greater than or equal to one. Note than 10, 100, 1000, .. etc lead to remainder 0 when divided by 5. So remainder of " 5*1000 + 3*100 + 3*10 + 5" divided by 5 is equivalent to remainder of following : 0 + 0 + 0 + 5 = 5 Since 5 is divisible by 5, answer is yes.7
A number is divisible by 5 if its digits last digit will be 0 or 5 .7
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.1
Yes8
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.9
Java
// C++ program to find if a number is
0
// divisible by 5 or not
// C++ program to find if a number is
2 // C++ program to find if a number is
3
// C++ program to find if a number is
4 // C++ program to find if a number is
5
A number is divisible by 5 if its digits last digit will be 0 or 5 .6
A number is divisible by 5 if its digits last digit will be 0 or 5 .7
A number is divisible by 5 if its digits last digit will be 0 or 5 .1
A number is divisible by 5 if its digits last digit will be 0 or 5 .7
A number is divisible by 5 if its digits last digit will be 0 or 5 .2
A number is divisible by 5 if its digits last digit will be 0 or 5 .7
A number is divisible by 5 if its digits last digit will be 0 or 5 .3
A number is divisible by 5 if its digits last digit will be 0 or 5 .7
// divisible by 5 or not
4 // divisible by 5 or not
5 // divisible by 5 or not
6A number is divisible by 5 if its digits last digit will be 0 or 5 .7
A number is divisible by 5 if its digits last digit will be 0 or 5 .6
// divisible by 5 or not
9_______1_______8
A number is divisible by 5 if its digits last digit will be 0 or 5 .9
#include
2
// divisible by 5 or not
9_______2_______1 #include
5#include
6#include
7
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.3
#include
9using
0using
1using
2_______109_______3#include
6#include
7
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.3
#include
9using
8using
9A number is divisible by 5 if its digits last digit will be 0 or 5 .7
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.9
A number is divisible by 5 if its digits last digit will be 0 or 5 .7
A number is divisible by 5 if its digits last digit will be 0 or 5 .7
namespace
4A number is divisible by 5 if its digits last digit will be 0 or 5 .7
namespace
6 // divisible by 5 or not
4 namespace
8 namespace
9A number is divisible by 5 if its digits last digit will be 0 or 5 .7
A number is divisible by 5 if its digits last digit will be 0 or 5 .6
// divisible by 5 or not
9_______1_______03
Let us consider 5335, we can write it as 5335 = 5*1000 + 3*100 + 3*10 + 5 The proof is based on below observation: Remainder of 10i divided by 5 is 0 if i greater than or equal to one. Note than 10, 100, 1000, .. etc lead to remainder 0 when divided by 5. So remainder of " 5*1000 + 3*100 + 3*10 + 5" divided by 5 is equivalent to remainder of following : 0 + 0 + 0 + 5 = 5 Since 5 is divisible by 5, answer is yes.6
Let us consider 5335, we can write it as 5335 = 5*1000 + 3*100 + 3*10 + 5 The proof is based on below observation: Remainder of 10i divided by 5 is 0 if i greater than or equal to one. Note than 10, 100, 1000, .. etc lead to remainder 0 when divided by 5. So remainder of " 5*1000 + 3*100 + 3*10 + 5" divided by 5 is equivalent to remainder of following : 0 + 0 + 0 + 5 = 5 Since 5 is divisible by 5, answer is yes.7
// divisible by 5 or not
9_______1_______07
A number is divisible by 5 if its digits last digit will be 0 or 5 .08
A number is divisible by 5 if its digits last digit will be 0 or 5 .09
A number is divisible by 5 if its digits last digit will be 0 or 5 .10
Yes0
A number is divisible by 5 if its digits last digit will be 0 or 5 .12
// divisible by 5 or not
9_______1_______14
A number is divisible by 5 if its digits last digit will be 0 or 5 .09
A number is divisible by 5 if its digits last digit will be 0 or 5 .10
A number is divisible by 5 if its digits last digit will be 0 or 5 .17
A number is divisible by 5 if its digits last digit will be 0 or 5 .12
A number is divisible by 5 if its digits last digit will be 0 or 5 .7
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.9
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.9
Python3
A number is divisible by 5 if its digits last digit will be 0 or 5 .22
A number is divisible by 5 if its digits last digit will be 0 or 5 .23
A number is divisible by 5 if its digits last digit will be 0 or 5 .24
A number is divisible by 5 if its digits last digit will be 0 or 5 .25
A number is divisible by 5 if its digits last digit will be 0 or 5 .26
A number is divisible by 5 if its digits last digit will be 0 or 5 .27
A number is divisible by 5 if its digits last digit will be 0 or 5 .28
A number is divisible by 5 if its digits last digit will be 0 or 5 .7
A number is divisible by 5 if its digits last digit will be 0 or 5 .30
A number is divisible by 5 if its digits last digit will be 0 or 5 .31
A number is divisible by 5 if its digits last digit will be 0 or 5 .32
A number is divisible by 5 if its digits last digit will be 0 or 5 .33
A number is divisible by 5 if its digits last digit will be 0 or 5 .7
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.1
A number is divisible by 5 if its digits last digit will be 0 or 5 .36
A number is divisible by 5 if its digits last digit will be 0 or 5 .37_______108_______6
A number is divisible by 5 if its digits last digit will be 0 or 5 .39
A number is divisible by 5 if its digits last digit will be 0 or 5 .31
A number is divisible by 5 if its digits last digit will be 0 or 5 .31
For example, let us consider 769555 Number formed by last digit is = 5 Since 5 is divisible by 5 , answer is YES.3
A number is divisible by 5 if its digits last digit will be 0 or 5 .43
A number is divisible by 5 if its digits last digit will be 0 or 5 .44