蒟蒻求解 加急

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

int main()
{
    long long n, cnt = 0;
    bool flag = false;
    cin >> n;
    for (long long i = 2; i * i <= n; i++)
    {
        cnt = 0;
        while (n % i == 0)
        {
            flag = true;
            n /= i;
            cnt++;
        }
        if (cnt > 1)
        {
            cout << i << "^" << cnt;
        }
        else if (cnt == 1)
        {
            if (i != 2)
                cout << " * " << i;
            else if (i == 2)
                cout << i;
        }
    }
    if (n != 1)
        if (flag == false)
            cout << n;
        else
            cout << " * " << n;
    return 0;
}