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题目链接:https://leetcode.com/problems/power-of-four/
题目:
Given an integer (signed 32 bits), write a function to check whether it is a power of 4.
Example:
Given num = 16, return true. Given num = 5, return false.
Follow up: Could you solve it without loops/recursion?
思路:
观察4个幂次方,发现除了最高位,都是0,且0的个数是偶数,如4=100 16=10000, 8=1000。否则就不是4的power
算法:
public static boolean isPowerOfFour(int num) { if(num==1) return true; if(num==2||num==3) return false; if (num<1) return false; String binary = Integer.toBinaryString(num); char c[] = binary.toCharArray(); int count = 0; for(int i=1;i<c.length;i++){//除了开头全是0 if(c[i]!='0'){ return false; }else{//统计0的个数 count++; } } if(count!=0&&count%2==0)//有偶数个0 return true; else return false; }
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原文地址:http://blog.csdn.net/yeqiuzs/article/details/51510919