[leetcode: Python]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: 4Output: [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:
The given area won’t exceed 10,000,000 and is a positive integer
The web page’s width and length you designed must be positive integers.

方法一：49ms

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

方法二：38ms

class Solution(object):    def constructRectangle(self, area):        """        :type area: int        :rtype: List[int]        """        sqr = int(math.sqrt(area))        while (area % sqr != 0):            sqr -= 1        return [int(area / sqr), sqr]