UVa Problem 10105 Polynomial Coefficients （多項式係數）

// Polynomial Coefficients （多項式係數）// PC/UVa IDs: 110506/10105, Popularity: B, Success rate: high Level: 1// Verdict: Accepted// Submission Date: 2011-05-29// UVa Run Time: 0.024s//// 著作權（C）2011，邱秋。metaphysis # yeah dot net//// 多項式定理的應用。多元多項式 （a + b + c + ... + f) ^ n 的通項式：// (n! / (k! * d! * j! * ... * z!)) * a^k * b^d * c^j * ... * f^z。#include <iostream>using namespace std;long long unsigned factorial(int m){if (m == 0)return 1;if (m == 1)return 1;return m * factorial(m - 1);}int main(int ac, char *av[]){int n, k, tmp;while (cin >> n >> k){long long unsigned numerator = factorial(n);long long unsigned denominator = 1;while (k--){cin >> tmp;denominator *= factorial(tmp);}cout << numerator / denominator << endl;}return 0;}