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
Credits:
Special thanks to @mithmatt and @ts for adding this problem and creating all test cases.
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//即使输入的数为9*10^10,也会在第一次 while 降到3位数,第二次 while 降到2位数,不超过10次肯定能知道是否满足题目条件 //所以加了一个 cnt 计数器 在超过10次就跳出循环说明不满足题意 class Solution { public: bool isHappy(int n) { int cnt = 0; while(n != 1) { cnt++; int temp = 0; while(n) { temp = temp + (n % 10) * (n % 10); n = n / 10; } n = temp; if(cnt == 10) { return false; } } return true; } }; |
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