40. leetcode 202. Happy Number _leetcode

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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.
【40. leetcode 202. Happy Number】Example: 19 is a happy number

12 + 92 = 82
82 + 22 = 68
62 + 82 = 100
12 + 02 + 02 = 1

思路：把一个数每一位平方后加和得到一个新的数，然后继续对这个新的数做同样的操作。如果最后能得到一个1，则最原始的数就是一个”Happy Number”。如果在还没达到1的过程中出现循环，则这个数肯定不是。用到C++ 的set。set.count()判断一个数是否在set中，set.insert()，向set 中插入元素。INT_MAX，表示最大整数。