492. Construct the Rectangle

Posted 2020-09-02

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:

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.

输入一个矩形的面积，输出矩形的长和宽，长和宽的差要尽可能的小，长必须>=宽

 

C++(289ms):

 1 class Solution {
 2 public:
 3     vector<int> constructRectangle(int area) {
 4         int min= 10000010 ;
 5         int h,w;
 6         vector<int> vec;
 7         if (area==1){
 8            vec.push_back(1);
 9            vec.push_back(1);
10            return vec;
11         }
12 
13         for (int i = 1 ; i <area/2+1 ; i++){
14             if (area%i!=0)
15                 continue;
16             else {
17                 if (area/i-i<min && area/i-i>=0){
18                     min = area/i-i;
19                     h=area/i;
20                     w=i;
21                 }
22             }
23         }
24 
25         vec.push_back(h);
26         vec.push_back(w);
27         return vec;
28     }
29 };

 

C++(3ms):

 1 class Solution {
 2 public:
 3     vector<int> constructRectangle(int area) {
 4         int h,w;
 5         vector<int> vec;
 6         int t = (int)sqrt(area);
 7         while(area%t!=0){
 8             t--;
 9         }
10         h = area/t;
11         w=t;
12         vec.push_back(h);
13         vec.push_back(w);
14 
15         return vec;
16     }
17 };