大佬们问一下这错哪儿了

#include<iostream>
#include<cstdio>

using namespace std;

int main(){
    int n = 2 , k;
    double sum = 1.000000;

    scanf("%d" , &k);
    while(sum <= k){
        sum += 1.0 / n;
        n++;
    }
    printf("%d" , n);
}