492. Construct the Rectangle

题目：

For a web developer, it is very important to know how to design a web page's size. So, given a specific rectangular web page’s area, your job by now is to design a rectangular web page, whose length L and width W satisfy the following requirements:

1. The area of the rectangular web page you designed must equal to the given target area.

2. The width W should not be larger than the length L, which means L >= W.

3. The difference between length L and width W should be as small as possible.

You need to output the length L and the width W of the web page you designed in sequence.

Example:

Input: 4
Output: [2, 2]
Explanation: The target area is 4, and all the possible ways to construct it are [1,4], [2,2], [4,1]. 
But according to requirement 2, [1,4] is illegal; according to requirement 3,  [4,1] is not optimal compared to [2,2]. So the length L is 2, and the width W is 2.

Note:

The given area won't exceed 10,000,000 and is a positive integer
The web page's width and length you designed must be positive integers.

链接：https://leetcode.com/problems/construct-the-rectangle/#/description

3/29/2017

 1 public class Solution {
 2     public int[] constructRectangle(int area) {
 3         int low = (int) Math.floor(Math.sqrt(area));
 4         int[] ret = new int[2];
 5         while (area % low != 0) {
 6             low--;
 7         }
 8         ret[0] = area/low;
 9         ret[1] = low;
10         return ret;
11     }
12 }

这道题没意思：https://discuss.leetcode.com/category/639/construct-the-rectangle