class Calc0141
  def initialize(args)
    args = args.map { |l| l.chomp.split(/\s+/) }
    @m, @n = args.shift.map(&:to_i)
  end

  def run
    a = Rational(@m, @n)
    c = 0
    while true
      if a.denominator == 1
        return c + a.to_i - 1
      elsif a > 1
        c += a.floor
        a = a - a.floor
      else
        c += 1
        a = 1 / a
      end
    end
  end
end

puts Calc0141.new(STDIN.readlines).run if __FILE__ == $0