492. Construct the Rectangle

• Difficulty: Easy

• Topics:

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Problem:

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.

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:

Solutions:

class Solution {
public:
    vector<int> constructRectangle(int area) {
        vector<int> ret = {area, 1};
        for (int i = 2; i <= sqrt(area); ++i) {
            if (area % i == 0) {
                ret = {area / i, i};
            }
        }

        return ret;
    }
};