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1447. 最简分数

给你一个整数 n ,请你返回所有 0 到 1 之间(不包括 0 和 1)满足分母小于等于 n最简 分数 。分数可以以 任意 顺序返回。

示例 1:

输入: n = 2
输出: ["1/2"]
解释: "1/2" 是唯一一个分母小于等于 2 的最简分数。

示例 2:

输入: n = 3
输出: ["1/2","1/3","2/3"]

示例 3:

输入: n = 4
输出: ["1/2","1/3","1/4","2/3","3/4"]
解释: "2/4" 不是最简分数,因为它可以化简为 "1/2" 。

示例 4:

输入: n = 1
输出: []

提示:

  • 1 <= n <= 100

题解 (Python)

1. 题解

class Solution:
    def simplifiedFractions(self, n: int) -> List[str]:
        return [
            "{}/{}".format(j, i)
            for i in range(2, n + 1)
            for j in range(1, i)
            if gcd(i, j) == 1
        ]

题解 (Ruby)

1. 题解

# @param {Integer} n
# @return {String[]}
def simplified_fractions(n)
  ret = []

  (2..n).each do |i|
    (1...i).each do |j|
      ret.push(format('%d/%d', j, i)) if i.gcd(j) == 1
    end
  end

  ret
end