C++求1!到n!的和

题目内容：求1!+2!+3!+4!+……+n!的结果。

输入描述：输入不多于50个正整数的数据n(1<=n<=12)。

输出描述：对于每个n，输出计算结果。每个计算结果应单独占一行。

参考代码：

#include "stdafx.h"
#include <fstream>
#include <vector>
#include <iostream>
using namespace std;
 
int main(int argc,char * argv[])
{
    vector<int> n(50);
    int sum, p, m;
    int num = 0;
    while (num <= 49)
    {
        cin >>m;
        if (m>= 1 && m<= 12)
        {
            n[num] = m;
            num++;
        }       
        else if (m<1 || m>12)
        {
            cout << "The input should be more than 1 and less than 12";
        }
        if (cin.get()=='\n')
        {
            break;
        }
    }       
    for (int j = 0; j < num; j++)
    {
        sum = 0;
        p = 1;
        for (int i = 1; i <= n[j]; i++)
        {
            p = p*i;
            sum = sum + p;          
        }
        cout << sum << endl;
    }   
    return 0;
}