第二次周赛G题(HDU-1061)

问题链接:https://vjudge.net/problem/HDU-1061

问题简述:求n的n次方的个位数。

Get:可以用快速幂,也可以找规律。

方法一:找规律
相关链接:https://blog.csdn.net/feynman1999/article/details/69388463
https://blog.csdn.net/yanqianglifei/article/details/77738732
(大佬们都讲得很详细,我就不写了)

AC代码:(链接里用的是小循环,这里我用的是大循环(以20为一个周期))

#include <iostream>
using namespace std;
int main()
{
	int T,N,a[21] = { 0,1,4,7,6,5,6,3,6,9,0,1,6,3,6,5,6,7,4,9,0 };
	cin >> T;
	while (T--)
	{
		cin >> N;
		cout << a[N % 20] << endl;
	}
}

方法二:快速幂
相关链接:https://blog.csdn.net/whjkm/article/details/42803805

代码:

#include <iostream>
using namespace std;
int k(long long a, long long b, long long c)
{
	int cnt = 1;
	a = a % c;
	while (b)
	{
		if (b % 2)
		{
			cnt = cnt * a%c;
		}
		b = b / 2;
		a = a * a%c;
	}
	return cnt;
}
int main()
{
	int n,a;
	cin >> n;
	while (n--)
	{
		cin >> a;
		int s = k(a, a, 10);
		cout << s << endl;
	}
}

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转载自blog.csdn.net/weixin_43973189/article/details/85171368