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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
Credits:
Special thanks to @mithmatt and @ts for adding this problem and creating all test cases.
[Solution]
不是happy number的话,结果会出现循环,用set记录所有结果,出现重复则为false
1 bool isHappy(int n) 2 { 3 set<int> table; 4 5 table.insert(n); 6 while (1) 7 { 8 int k = 0; 9 while (n) 10 { 11 k += (n % 10) * (n % 10); 12 n /= 10; 13 } 14 if (k == 1) 15 return true; 16 if (table.find(k) != table.end()) 17 return false; 18 n = k; 19 table.insert(n); 20 } 21 }
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原文地址:http://www.cnblogs.com/ym65536/p/5097331.html