LeetCode 1447. Simplified Fractions
Given an integer?n
, return?a list of all?simplified?fractions between?0
?and?1
?(exclusive) such that the denominator is less-than-or-equal-to?n
. You can return the answer in?any order.
?
Example 1:
Input: n = 2
Output: ["1/2"]
Explanation:?
"1/2" is the only unique fraction with a denominator less-than-or-equal-to 2.
Example 2:
Input: n = 3
Output: ["1/2","1/3","2/3"]
Example 3:
Input: n = 4
Output: ["1/2","1/3","1/4","2/3","3/4"]
Explanation:?
"2/4" is not a simplified fraction because it can be simplified to "1/2".
?
Constraints:
1 <= n <= 100
判斷每個(gè)可能的分?jǐn)?shù),那么就要挨個(gè)去遍歷,但是考慮到1/2跟2/4是一樣的,所以就要求最大公約數(shù),GCD,我又卡在這里了,還好不難,剩下的就是避免重復(fù),要用hashset去依次判斷,然后返回即可;
下面是代碼:
Hide Hint 1
A fraction is fully simplified if there is no integer that divides cleanly into the numerator and denominator.
Hide Hint 2
In other words the greatest common divisor of the numerator and the denominator of a simplified fraction is 1.
Problems
Pick One
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Runtime:?44 ms, faster than?19.02%?of?Java?online submissions for?Simplified Fractions.
Memory Usage:?45.2 MB, less than?6.75%?of?Java?online submissions for?Simplified Fractions.