In this tutorial, we will be discussing a program to find the number of all perfect divisors of a number.
For this we will be provided with a number. Our task is to count all the perfect divisors of that given number.
Example
#include<bits/stdc++.h>
using namespace std;
//checking perfect square
bool if_psquare(int n){
int sq = (int) sqrt(n);
return (n == sq * sq);
}
//returning count of perfect divisors
int count_pdivisors(int n){
int count = 0;
for (int i=1; i*i <= n; ++i){
if (n%i == 0){
if (if_psquare(i))
++count;
if (n/i != i && if_psquare(n/i))
++count;
}
}
return count;
}
int main(){
int n = 16;
cout << "Total perfect divisors of " << n << " = " << count_pdivisors(n) << "\n";
n = 12;
cout << "Total perfect divisors of " << n << " = " << count_pdivisors(n);
return 0;
}Output
Total perfect divisors of 16 = 3 Total perfect divisors of 12 = 2