[LeetCode/LintCode] Construct the Rectangle

Problem

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.

Solution

public class Solution {
    /**
     * @param area: web page's area
     * @return: the length L and the width W of the web page you designed in sequence
     */
    public int[] constructRectangle(int area) {
        int squareRoot = (int) Math.sqrt(area);
        int w = squareRoot;
        while (area%w != 0) {
           w--;
        }
        return new int[] {area/w, w};
    }
}