Construct the Rectangle问题及解法

问题描述：

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.
示例：

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.

问题分析：

要想长宽差距小，就要从面积的开方处循环查找，过程详见代码：

class Solution {
public:
vector<int> constructRectangle(int area) {
vector<int> res;
int l = sqrt(area);
int w = l;
while(area % w != 0)
{
w--;
}
l = area / w;
res.push_back(l);
res.push_back(w);
return res;
}
};