Construct the Rectangle

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:

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

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

3. The difference between the 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.

Example:

Input: area = 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.

Approach:

C++

#include <bits/stdc++.h>
using namespace std;

vector<int> constructRectangle(int area)
{
    int w = sqrt(area);
    while (area % w)
    {
        w--;
    }
    return {area / w, w};
}

int main()
{
    int area = 4;

    vector<int> res = constructRectangle(area);

    cout << "[";
    for (int i = 0; i < res.size(); i++)
    {
        cout << res[i];
        if (i != res.size() - 1)
            cout << ",";
    }
    cout << "]";

    return 0;
}