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LeetCode Construct the Rectangle

發布時間:2025/3/21 编程问答 22 豆豆
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原題鏈接在這里:https://leetcode.com/problems/construct-the-rectangle/

題目:

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 integer
  • The web page's width and length you designed must be positive integers.
  • 題解:

    從Math.sqrt(area) 開始往下一個一個試width, 看能否讓area被width整除.

    Time Complexity: O(Math.sqrt(area)). Space: O(1).

    AC Java:

    1 public class Solution { 2 public int[] constructRectangle(int area) { 3 if(area == 0){ 4 return new int [] {0,0}; 5 } 6 int w = (int)Math.sqrt(area); 7 while(area%w != 0){ 8 w--; 9 } 10 return new int [] {area/w, w}; 11 } 12 }

    ?

    轉載于:https://www.cnblogs.com/Dylan-Java-NYC/p/6360846.html

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