492-Construct-the-Rectangle.js

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

/**
 * @param {number} area
 * @return {number[]}
 */
var constructRectangle = function (area) {

    var w = Math.floor(Math.sqrt(area));
    while (area % w != 0) w--;
    return [area / w, w];

};

console.log(constructRectangle(4));
console.log(constructRectangle(17));