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
. The fractions can be 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".
Example 4:
Input: n = 1
Output: []
Constraints:
1 <= n <= 100
# @lc code=start
using LeetCode
simplified_fractions(n::Int) = ["$p/$q" for q in 2:n for p in 1:(q - 1) if gcd(p, q) == 1]
# @lc code=end
simplified_fractions (generic function with 1 method)
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