欧拉工程第57题：Square root convergents

题目链接

Java程序

package projecteuler51to60;

import java.math.BigInteger;
import java.util.Iterator;
import java.util.Set;
import java.util.TreeSet;

class level57{    
    void solve0(){
/***
        a      a+2b 
       ---    -------
        b       a+b
***/
        int count = 0;
        BigInteger a=BigInteger.valueOf(3);
        BigInteger b=BigInteger.valueOf(2);
        for(int i=0;i<1000;i++){
            BigInteger tempA =caculateA(a,b);
            BigInteger tempB =caculateB(a,b);
            a = tempA;
            b = tempB;
            if(a.toString().length()>b.toString().length()){
                count++;
            }
        }
        System.out.println(count);
    }
    BigInteger caculateA(BigInteger a,BigInteger b){
        BigInteger res = a;
        res=res.add(b);
        res=res.add(b);
        return res;
    }
    BigInteger caculateB(BigInteger a,BigInteger b){
        BigInteger res =a;
        res = res.add(b);
        return res;
    }

    
}
public class Problem57 {


    public static void main(String[] args){
        long begin= System.currentTimeMillis();
        new level57().solve0();
        long end = System.currentTimeMillis();
        long Time = end - begin;
        System.out.println("Time:"+Time/1000+"s"+Time%1000+"ms");
    }

}