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:

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.

输入一个矩形的面积，输出矩形的长和宽，长和宽的差要尽可能的小，长必须>=宽

 

 

C++(3ms):

class Solution {
public:
    vector<int> constructRectangle(int area) {
        int w = sqrt(area) ;
        vector<int> v ;
        while(area%w){
            w--;
        }
        int h = area/w ;
        v.push_back(h) ;
        v.push_back(w) ;
        return v ;
    }
};