Happy Number問題及解法
阿新 • • 發佈:2018-12-31
問題描述:
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.
19 is a happy number
- 12+ 92= 82
- 82+ 22= 68
- 62+ 82= 100
- 12+ 02+ 02= 1
問題分析:
非happy數會有一個特點,在迴圈過程中會出現4這個值,依次我們只需要將1和4作為跳出迴圈的條件即可。
過程詳見程式碼:
class Solution { public: bool isHappy(int n) { while(n != 1 && n != 4) { int t = 0; while(n) { t += (n % 10) * (n % 10); n /= 10; } n = t; } return n == 1; } };