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#492 - Construct the Rectangle

Problem Description

A web developer needs 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: The area of the rectangular web page you designed must equal to the given target area. The width W should not be larger than the length L, which means L >= W. The difference between length L and width W should be as small as possible.

Return an array [L, W] where L and W are the length and width of the web page you designed in sequence.

Solution

/**
 * @param {number} area
 * @return {number[]}
 */
var constructRectangle = function(area) {
  let width = Math.floor(Math.sqrt(area));
  while (area % width) {
    width--;
  }
  return [area / width, width];
};