LeetCode492 Construct the Rectangle

文章目录
  1. 1. 描述
  2. 2. 样例
  3. 3. 思路
  4. 4. 代码

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:

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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.

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.

样例

Example:

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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.

思路

对给定的面积,在满足的条件下,求出长和宽

条件是:l * w == area && l >= w && l 和 r 的差要尽可能的小

从$\sqrt{area}$开始枚举宽度w,然后再判断是否满足上述条件即可

代码

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class Solution {
public:
vector<int> constructRectangle(int area) {
vector<int> ans;
for (int w = sqrt(1.0 * area); w >= 1; --w) {
int l = area / w;
if (l * w == area) {
ans.push_back(max(l, w));
ans.push_back(min(l, w));
break;
}
}
return ans;
}
};
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