从零开始的LC刷题(102): Construct the Rectangle

mac2022-06-30  25

原题:

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:

The given area won't exceed 10,000,000 and is a positive integerThe web page's width and length you designed must be positive integers.

给出一个数,求面积是这个数的矩形的长和宽,长和宽要尽量接近一样大。结果:

Success

Runtime: 0 ms, faster than 100.00% of C++ online submissions for Construct the Rectangle.

Memory Usage: 8.2 MB, less than 100.00% of C++ online submissions for Construct the Rectangle.

代码:

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

 

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