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
Solution:
use loop to calcuate the square sum until meet one of these two stops:
1. sum is 1, return true
2. sum value got before, which means there is a sum loop and will never goes to 1. return false
public boolean isHappy(int n) {
if(n<=0) return false;
Set<Long> records = new HashSet<>();
long ln = n;
while(ln< Integer.MAX_VALUE){
if(records.contains(ln)) return false;
else records.add(ln);
ln = getSquareSum(ln);
if(ln == 1) return true;
}
return false;
}
public long getSquareSum(long n){
long sum = 0;
while(n!=0){
sum+= Math.pow(n%10,2);
n/=10;
}
return sum;
}
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原文:http://blog.csdn.net/sbitswc/article/details/48176533