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HackerEarth Number of divisors problem solution

YASH PAL, 31 July 202413 February 2026
In this HackerEarth Number of divisors problem solution, You are given two numbers n and k. For each number in the interval [1, n], your task is to calculate its largest divisor that is not divisible by k. Print the sum of these divisors.
 
 
HackerEarth Number of divisors problem solution

 

 

HackerEarth Number of divisors problem solution.

#include<bits/stdc++.h>
using namespace std;

using ll = long long;

long long f(int n, int k) {
if (n == 0) return 0;
long long res = (n/k);
return f(n/k, k) + n * (ll)(n+1) / 2ll - (res * (res + 1) / 2ll) * k;
}

int main () {
int T = 1;
scanf("%d", &T);
assert(T >= 1 && T <= 300000);
while(T--) {

int n, k;
scanf("%d%d", &n, &k);
assert(n <= 1e9);
assert(k >= 2 && k <= 1e9);

printf("%lldn", f(n, k));

}

return 0;
}
 
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