LeetCode 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.
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.

class Solution {
public:
    vector<int> constructRectangle(int area) {
        int t=sqrt(area);
        for(;t>=1;t--)
            if(area%t==0)
                break;
        vector<int> res;
        res.push_back(t>area/t?t:area/t);
        res.push_back(t<area/t?t:area/t);
        return res;
    }
};