202. Happy Number
Write an algorithm to determine if a number is "happy".
A happy number is a number defined by the following process: Starting with any positive integer, replace the number by the sum of the squares of its digits, and repeat the process until the number equals 1 (where it will stay), or it loops endlessly in a cycle which does not include 1. Those numbers for which this process ends in 1 are happy numbers.
Example: 19 is a happy number
- 12 + 92 = 82
- 82 + 22 = 68
- 62 + 82 = 100
- 12 + 02 + 02 = 1
题意:
写一个算法来判断一个数字是否“快乐”。
一个愉快的数字是由下面的过程定义的一个数字:从任何正整数开始,用它的数字的平方代替数字,重复这个过程直到数字等于1(它将停留在哪里),或者在一个不包括1的循环中循环。这个过程以1结尾的数字是快乐数字。
例子:19是一个快乐的数字。
1 public class Solution { 2 private int getHappyNumber(int n){ 3 int sum=0; 4 while(n!=0){ 5 sum+=(n%10)*(n%10); 6 n=n/10; 7 } 8 return sum; 9 } 10 public boolean isHappy(int n) { 11 HashSet<Integer> hash=new HashSet<Integer>(); 12 while(n!=1){ 13 if(hash.contains(n)) 14 return false; 15 else{ 16 hash.add(n); 17 n=getHappyNumber(n); 18 } 19 } 20 return true; 21 } 22 }