1. Topics
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 and replace the number by the Sum of the squares of its digits, and repeat the process until the number equals 1 (where it would stay), or it loops Endl essly in a cycle which does not include 1. Those numbers for which this process ends in 1 is happy numbers.
Example: is a happy number
- 12 + 92 = 82
- 82 + 22 = 68
- 62 + 82 = 100
- 12 + 02 + 02 = 1
2. Solving Solutions
Class Solution {public: bool Ishappy (int n) { if (n < 1) { return false; } if (n = = 1) { return true; } Unordered_set<int> shownums; Shownums.insert (n); while (true) { int sum = 0; while (n! = 0) { int onedigital = n; n = N/10; sum = sum + onedigital * onedigital; } if (sum = = 1) { return true; } else{ if (shownums.find (sum) = = Shownums.end ()) { shownums.insert (sum); } else{ return false; } } n = sum;}} ;
idea: Use the balance and divide by 10 to get each digit number, add to judge. A set is also used to store the numbers that have occurred, and if repeated, the description is not a happy number.
http://www.waitingfy.com/archives/1678
Leetcode Happy Number