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Check if a large number is divisibility by 15 in C++
Here we will see how to check a number is divisible by 15 or not. In this case the number is very large number. So we put the number as string.
To check whether a number is divisible by 15, if the number is divisible by 5, and divisible by 3. So to check divisibility by 5, we have to see the last number is 0 or 5. To check divisibility by 3, we will see the sum of digits are divisible by 3 or not.
Example
#include <bits/stdc++.h>
using namespace std;
bool isDiv15(string num){
int n = num.length();
if(num[n - 1] != '5' && num[n - 1] != '0')
return false;
long sum = accumulate(begin(num), end(num), 0) - '0' * n;
if(sum % 3 == 0)
return true;
return false;
}
int main() {
string num = "154484585745184258458158245285260";
if(isDiv15(num)){
cout << "Divisible";
} else {
cout << "Not Divisible";
}
}
Output
Divisible
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