你如何在 C++ 中实现阶乘函数?

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时间:2020-08-28 18:43:31  来源:igfitidea点击:

How do you implement the factorial function in C++?

c++algorithmapi-design

提问by Jonathan Allen

Possible Duplicates:
Calculating large factorials in C++
Howto compute the factorial of x

可能的重复:
在 C++ 中计算大阶乘
如何计算 x 的阶乘

How do you implement the factorial function in C++? And by this I mean properly implement it using whatever argument checking and error handling logic is appropriate for a general purpose math library in C++.

你如何在 C++ 中实现阶乘函数?我的意思是使用任何适合 C++ 通用数学库的参数检查和错误处理逻辑来正确实现它。

回答by Hovhannes Grigoryan

Recursive:

递归:

unsigned int factorial(unsigned int n) 
{
    if (n == 0)
       return 1;
    return n * factorial(n - 1);
}

Iterative:

迭代:

unsigned int iter_factorial(unsigned int n)
{
    unsigned int ret = 1;
    for(unsigned int i = 1; i <= n; ++i)
        ret *= i;
    return ret;
}

Compile time:

编译时间:

template <int N>
struct Factorial 
{
    enum { value = N * Factorial<N - 1>::value };
};

template <>
struct Factorial<0> 
{
    enum { value = 1 };
};

void foo()
{
    int x = Factorial<4>::value; // == 24
    int y = Factorial<0>::value; // == 1
}

回答by Cubbi

Besides the obvious loops and recursions, modern C++ compilers support the gamma function as tgamma(), closely related to factorial:

除了明显的循环和递归之外,现代 C++ 编译器还支持 gamma 函数 as tgamma(),与 factorial 密切相关:

#include <iostream>
#include <cmath>
int main()
{
    int n;
    std::cin >> n;
    std::cout << std::tgamma(n+1) << '\n';
}

test run: https://ideone.com/TiUQ3

试运行:https: //ideone.com/TiUQ3

回答by yasouser

You might want to take a look at boost/math/special_functions/factorials.hppif you have Boost installed. You can read about it at: Boost Factorial

您可能想看看boost/math/special_functions/factorials.hpp是否安装了 Boost。您可以在以下位置阅读:Boost Factorial