HDU 1061 Rightmost Digit(简单快速幂)

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Rightmost DigitTime Limit: 2000/1000 MS (Java/Others)Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 39858Accepted Submission(s): 15045

Problem Description

Given a positive integer N, you should output the most right digit of N^N.

Input

The input contains several test cases. The first line of the input is a single integer T which is the number of test cases. T test cases follow.Each test case contains a single positive integer N(1<=N<=1,000,000,000).

Output

For each test case, you should output the rightmost digit of N^N.

Sample Input

234

Sample Output

76

Hint

In the first case, 3 * 3 * 3 = 27, so the rightmost digit is 7.In the second case, 4 * 4 * 4 * 4 = 256, so the rightmost digit is 6.

题意:简单的快速幂题目。求a的b次方所得结果的最后一位数。

解题思路:这是一题较简单的快速幂。以下是我对快速幂的理解,具体看代码。

快速幂思路: 求a^b,是不是要把a乘b次呢?这样也行, 只是慢了点 例如求a^8,先把a乘a一次,得到a^2,然后把 a^2和a^2乘一次,得到a^4,然后把a^4和a^4乘一 下就得到a^8了 假如要求a^10呢?10=8+2,a^10=a^8*a^2 把10化为二进制, 10=1010(2),1010(2)=1000(2)+10(2)

类似的题型有:

<span style="font-size:18px;"><span style="font-size:24px;">#include<iostream>#include<cstdio>#include<cstring>#include<cmath>using namespace std;int q_pow(int a,int b){int ans=1;//ans初始化为1while(b>0){if(b&1) ans =(ans*a)%10;//如果b为奇数,把ans乘于aa =(a*a)%10;//把a变成a^a,并且%10,防止溢出b>>=1;//b右移一位,相当于除于2}return ans;}int main(){ int n,cas; cin>>n; while(n–) {cin>>cas;printf("%d\n",q_pow(cas%10,cas));//a%10在这是为了提速,原因自己想想 } return 0;}</span></span>

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HDU 1061 Rightmost Digit(简单快速幂)

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