Leetcode: Happy Number

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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.

Example: 19 is a happy number

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

hash table检查是否重复出现,可以查表避免乘法运算。

class Solution {public:    bool isHappy(int n) {        if (n <= 0) {            return false;        }                int squareTable[] = {0, 1, 4, 9, 16, 25, 36, 49, 64, 81};        set<int> appearedNum;        while (appearedNum.find(n) == appearedNum.end()) {            appearedNum.insert(n);            int result = 0;            while (n != 0) {                int lowestDigit = n % 10;                n /= 10;                result += squareTable[lowestDigit];            }            n = result;        }                return (n == 1);    }};

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