22
04/2015
[LeetCode] Happy Number
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
Credits:
Special thanks to @mithmatt and @ts for adding this problem and creating all test cases.
解题思路:
模拟法即可。用一个set记录所有计算过的n,若出现重复(循环),返回false,若n为1,返回true;
class Solution { public: bool isHappy(int n) { if(n<=0){ return false; } set<int> checkedNumber; while(n!=1){ checkedNumber.insert(n); int tempN=0; while(n!=0){ int num=n%10; n=n/10; tempN+=num*num; } n=tempN; if(checkedNumber.find(n)!=checkedNumber.end()){ return false; } } return true; } };
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