You are given an integer n. Determine the factorial of this number.

factorials.cpp

#include <vector>
#include <iostream>

int main()
{
    std::vector<int> factorials;
    factorials.push_back(1);
    int n;
    std::cin >> n;
    for (auto i = 1; i <= n; i++)
    {
        for (unsigned int j = 0; j < factorials.size(); j++)
        {
            factorials[j] *= i;
        }
        for (unsigned int  j = 0; j < factorials.size() - 1; j++)
        {
            factorials[j + 1] += factorials[j] / 10;
            factorials[j] %= 10;
        }
        while (factorials[factorials.size() - 1] / 10)
        {
            factorials.push_back(factorials[factorials.size() - 1] / 10);
            factorials[factorials.size() - 2] %= 10;
        }
    }
    for (int i = factorials.size() - 1; i >= 0; i--)
    {
        std::cout << factorials[i];
    }
    return 0;
}