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72 lines
2.1 KiB
Markdown
72 lines
2.1 KiB
Markdown
# [492. Construct the Rectangle](https://leetcode.com/problems/construct-the-rectangle/)
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## 题目
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A web developer needs to know how to design a web page's size.
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So, given a specific rectangular web page’s area, your job by now is to design a rectangular web page,
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whose length L and width W satisfy the following requirements:
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The area of the rectangular web page you designed must equal to the given target area.
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The width W should not be larger than the length L, which means L >= W.
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The difference between length L and width W should be as small as possible.
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Return an array [L, W] where L and W are the length and width of the web page you designed in sequence.
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**Example 1:**
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Input: area = 4
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Output: [2,2]
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Explanation: The target area is 4, and all the possible ways to construct it are [1,4], [2,2], [4,1].
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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.
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**Example 2:**
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Input: area = 37
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Output: [37,1]
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**Example 3:**
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Input: area = 122122
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Output: [427,286]
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**Constraints**
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- 1 <= area <= 10000000
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## 题目大意
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作为一位 web 开发者， 懂得怎样去规划一个页面的尺寸是很重要的。 现给定一个具体的矩形页面面积，你的任务是设计一个长度为 L 和宽度为 W 且满足以下要求的矩形的页面。要求：
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1. 你设计的矩形页面必须等于给定的目标面积。
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2. 宽度 W 不应大于长度 L，换言之，要求 L >= W 。
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3. 长度 L 和宽度 W 之间的差距应当尽可能小。
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你需要按顺序输出你设计的页面的长度 L 和宽度 W。
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## 解题思路
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- 令 W 等于根号 area
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- 在 W 大于等于 1 的情况下,判断 area%W 是否等于 0,如果不相等 W 就减 1 继续循环,如果相等就返回 [area/W, W]
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## 代码
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```go
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package leetcode
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import "math"
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func constructRectangle(area int) []int {
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ans := make([]int, 2)
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W := int(math.Sqrt(float64(area)))
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for W >= 1 {
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if area%W == 0 {
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ans[0], ans[1] = area/W, W
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break
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}
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W -= 1
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}
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return ans
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}
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`` |