C++有关进制转换问题

#include <iostream>
#include <cstdlib>
int main()
{
    using namespace std;
    int i = 0, n, m, num[100];
    char hex[16] = {'0', '1', '2', '3', '4', '5', '6', '7', '8', '9', 'A', 'B', 'C', 'D', 'E', 'F'};
    cin >> n;
    while (n > 0)
    {
        num[i++] = n % 16;
        n = n / 16;
    }
    for (i = i - 1; i >= 0; i--)
    {
        m = num[i];
        cout << hex[m];
    }
    return 0;
}