constructRectangle.go

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

package ldesign

import "math"

func constructRectangle(area int) []int {
	w := int(math.Sqrt(float64(area)))
	for area%w != 0 {
		w--
	}
	return []int{area / w, w}
}