原题链接在这里:
题目:
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:
题解:
从 Math.sqrt(area) 开始往下一个一个试 width, 看能否让 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
- }
来源: