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.

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給定面積，求最整型長寬大小最接近的一組數據。

思想：對面積直接開方然後根據需求進行加減。

代碼如下：

class Solution {
public:
    vector<int> constructRectangle(int area) 
    {
         vector<int> result(2, 0);
        int l = sqrt(area), w = sqrt(area);
        while(l * w != area) {
            if(l * w < area)
                l++;
            else
                w--;
        }
        result[0] = l;
        result[1] = w;
        return result;
    }
};