模幂运算

  https://en.wikipedia.org/wiki/Modular_exponentiation

  该算法在一些数论题中十分有用。算法用于快速求解同余方程 $ c = a^b mod M $ ,其中 a, b, M 已知。

  代码:

#include <iostream>
#define ll long long
ll modexpo(ll base, ll expo, ll mod)
{
	if (mod == 1) return 0;
	ll res = 1; while (expo > 0)
	{
		if (expo & 1)	res = (res*base) % mod;
		base = (base*base) % mod; expo >>= 1;
	}
	return res;
}
int main()
{
	std::cout << modexpo(2,3,5) << std::endl;
	return 0;
}

  

  

原文地址:https://www.cnblogs.com/darkchii/p/9385241.html