492. Construct the Rectangle


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.


**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.


1. The given area won't exceed 10,000,000 and is a positive integer
2. The web page's width and length you designed must be positive integers.





class Solution {
    vector<int> constructRectangle(int area) {
        int r = sqrt(area);
        while (area % r != 0) --r;
        return {area / r, r};





class Solution {
    vector<int> constructRectangle(int area) {
        int r = 1;
        for (int i = 1; i * i <= area; ++i) {
            if (area % i == 0) r = i;
        return {area / r, r};






LeetCode All in One 题目讲解汇总(持续更新中…)

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