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Amicable numbers -- Javascript 实现
问题描述:
Let d(n) be defined as the sum of proper divisors of n (numbers less than n which divide evenly into n).
If d(a) = b and d(b) = a, where a b, then a and b are an amicable pair and each of a and b are called amicable numbers.
For example, the proper divisors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55 and 110; therefore d(220) = 284. The proper divisors of 284 are 1, 2, 4, 71 and 142; so d(284) = 220.
Evaluate the sum of all the amicable numbers under 10000.
实现:
(function(){ var factor = function (n){ var arr = new Array(); for(var i = 1;i < n; i++) { if(n%i == 0 && arr.indexOf(i) == -1) arr.push(i); } return arr; } var sumArr = function(arr){ var sum = 0 ; for(var i = 0 ; i < arr.length; i++) sum += arr[i]; return sum ; } for(var i = 2;i< 10000; i++) { var r1 = sumArr(factor(i)); var r2 = sumArr(factor(r1)); if(i == r2 && i != r1) console.log("num1 : " + i + ", num2 : " + r1); } })();
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