## 题目描述：

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:

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.

## 题目大意：

1. 给定面积是正整数并且不超过10,000,000
2. 长度和宽度必须是正整数

## 解题思路：

```记area的平方根为sqrt

## Python代码：

``````class Solution(object):
def constructRectangle(self, area):
"""
:type area: int
:rtype: List[int]
"""
sqrt = int(math.sqrt(area))
L, W = area, 1
for x in range(sqrt, 0, -1):
if area % x == 0:
L, W = area / x, x
break
return [L, W]
``````

Pingbacks已关闭。