Happy Number

##题目

####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

1^2 + 9^2 = 82
8^2 + 2^2 = 68
6^2 + 8^2 = 100
1^2 + 0^2 + 0^2 = 1

####Credits:
Special thanks to @mithmatt and @ts for adding this problem and creating all test cases.

##解题思路
该题是判断一个数是不是”Happy Number”,即对其每一位数进行平方和求解,且不断循环这个过程,如果结果为1,则满足条件,如果出现循环的情况,则不满足条件。在这里,采用HashSet对过去求解的值进行存储,然后通过判断一个数是不是在其中,来得到是否出现了循环的情况。

##算法代码
代码采用JAVA实现:

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public class Solution {
public boolean isHappy(int n) {
if(n<=0)
return false;
//使用一个hashset来存储过去已求解的值,来判断是否出现循环
HashSet<Integer> set=new HashSet<Integer>();
while(n!=1)
{
n=computerSquare(n);
if(set.contains(n))
return false;
else
set.add(n);
}
return true;
}

//求一个数的每一位的平方和
public int computerSquare(int number)
{

int res=0;
while(number!=0){
int tmp=number%10;
number=number/10;
res+=tmp*tmp;
}
return res;
}
}

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