应该是超时了，请问各位大佬该怎么改

#include<iostream>
using namespace std;
int main() {
	int k,n;
	double sum;
	n = 1;
	sum = 0;
	cin >> k;
	while (k > sum) {
		sum = sum +double( 1 / n);
		n++;
	}
	cout << n;
	return 0;
}