Given a positive integer num, write a function which returns True if num is a perfect square else False. Note: Do not use any built-in library function such as sqrt. Example 1: Input: 16 Returns: True Example 2: Input: 14 Returns: False
我的binary Search 解法:无需变成long
1 public class Solution { 2 public boolean isPerfectSquare(int num) { 3 if (num <= 0) return false; 4 int l=1, r=num/2+1; 5 while (l <= r) { 6 int mid = l + (r-l)/2; 7 if (mid == num/mid && num%mid == 0) return true; 8 else if (mid > num/mid) { 9 r = mid - 1; 10 } 11 else l = mid + 1; 12 } 13 return false; 14 } 15 }
别人三种方法总结:
1 public boolean isPerfectSquare(int num) { 2 if (num < 1) return false; 3 for (int i = 1; num > 0; i += 2) 4 num -= i; 5 return num == 0; 6 } 7 8 public boolean isPerfectSquare(int num) { 9 if (num < 1) return false; 10 long left = 1, right = num;// long type to avoid 2147483647 case 11 12 while (left <= right) { 13 long mid = left + (right - left) / 2; 14 long t = mid * mid; 15 if (t > num) { 16 right = mid - 1; 17 } else if (t < num) { 18 left = mid + 1; 19 } else { 20 return true; 21 } 22 } 23 24 return false; 25 } 26 27 boolean isPerfectSquare(int num) { 28 if (num < 1) return false; 29 long t = num / 2 + 1; //or t = num as the begining 30 while (t * t > num) { 31 t = (t + num / t) / 2; 32 } 33 return t * t == num; 34 }
Leetcode: Valid Perfect Squares
原文:http://www.cnblogs.com/EdwardLiu/p/6097372.html