用模重复平方法求b^n mod m

package 模重复平方法;

import java.math.BigInteger;
import java.util.Scanner;

/*
 * 要求:
 * 1编程实现模重复平方计算法
 */
public class Ah {

	public static void main(String[] args) {
		BigInteger b,m,n;
		Scanner sc=new Scanner(System.in);
		System.out.println("请输入b");
		b=sc.nextBigInteger();
		System.out.println("请输入n");
		n=sc.nextBigInteger();
		System.out.println("请输入m");
		BigInteger a=new BigInteger("1");
	    m=sc.nextBigInteger();
		String t1=n.toString(2);
		int[] N=new int[t1.length()];
		for(int i=0;i<=t1.length()-1;i++)
		{
			N[i]=Integer.parseInt(t1.substring(t1.length()-i-1,t1.length()-i));
		}
		
		for(int j=0;j<=t1.length()-1;j++)
		{
			
			if(j!=t1.length()-1)
			{
				if(N[j]==1)
			       a=(a.multiply(b)).remainder(m);
			    if(N[j]==0)
				   a=a.remainder(m);
			    b=(b.multiply(b)).remainder(m);
			}
			else
			{
				if(N[j]==1)
				    a=(a.multiply(b)).remainder(m);
				 if(N[j]==0)
					a=a.remainder(m);
			}
				
		}
		System.out.println(a);//测试
		

		
		

	}

}

posted on 2017-04-25 02:00  我是蒟蒻  阅读(380)  评论(0编辑  收藏  举报

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