LeetCode——Construct the Rectangle
LeetCode——Construct the Rectangle
Question
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:
The area of the rectangular web page you designed must equal to the given target area.
The width W should not be larger than the length L, which means L >= W.
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.
Solution
技巧就是用平方去逼近面积值,但是又必须找到能整除的值。
Answer
class Solution {
public:
vector<int> constructRectangle(int area) {
int w = area;
for (int i = 1; i * i <= area; i++) {
if (area % i == 0)
w = i;
}
return vector<int>{area / w, w};
}
};
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