492. Construct the Rectangle

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.
   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.

思路：

Solution (C++):

vector<int> constructRectangle(int area) {
    int len, width;
    for (width = sqrt(area); width >= 0; --width)
        if (area%width == 0) {
            len = area / width;
            break;
        }
    return {len, width};
}

性能：

Runtime: 0 ms  Memory Usage: 6 MB

思路：

Solution (C++):

性能：

Runtime: ms  Memory Usage: MB