Numbers can be regarded as product of its factors. For example,
8 = 2 x 2 x 2; = 2 x 4.
Write a function that takes an integer n and return all possible combinations of its factors.
Note:
- Each combination‘s factors must be sorted ascending, for example: The factors of 2 and 6 is
[2, 6]
, not[6, 2]
. - You may assume that n is always positive.
- Factors should be greater than 1 and less than n.
Examples:
input: 1
output:
[]
input: 37
output:
[]
input: 12
output:
[ [2, 6], [2, 2, 3], [3, 4] ]
input: 32
output:
[ [2, 16], [2, 2, 8], [2, 2, 2, 4], [2, 2, 2, 2, 2], [2, 4, 4], [4, 8] ]
数字可以被视为其因子的乘积。例如,
8 = 2 x 2 x 2; = 2 x 4.
编写一个接受整数n并返回所有可能的因子组合的函数。
注:
每个组合的因子必须按升序排序,例如:2和6的因子是[2,6],而不是[6,2]。
你可以假设n总是正的。
系数应大于1且小于n。
实例:
输入:1
输出:
[]
输入:37
输出:
[]
输入:12
输出:
[ [2, 6], [2, 2, 3], [3, 4] ]
输入:32
输出:
[ [2, 16], [2, 2, 8], [2, 2, 2, 4], [2, 2, 2, 2, 2], [2, 4, 4], [4, 8] ]
1 class Solution { 2 func getFactors(_ n:Int) -> [[Int]]{ 3 var res:[[Int]] = [[Int]]() 4 var arr:[Int] = [Int]() 5 helper(n,2,&arr,&res) 6 return res 7 } 8 9 func helper(_ n:Int,_ start:Int,_ out:inout [Int],_ res:inout [[Int]]) 10 { 11 var num:Int = Int(floor(sqrt(Double(n)))) 12 var i :Int = start 13 while(i <= num) 14 { 15 if n % i == 0 16 { 17 var new_out:[Int] = out 18 new_out.append(i) 19 helper(n / i, i, &new_out, &res) 20 new_out.append(n / i) 21 res.append(new_out) 22 } 23 i += 1 24 } 25 } 26 }
原文地址:https://www.cnblogs.com/strengthen/p/10225203.html
时间: 2024-10-17 03:42:50