Ruby 请问怎么用 Ruby 实现 1000!的末尾有多少个连续的 0

easonyuen · June 30, 2016 · Last by thewawar replied at July 02, 2016 · 3243 hits

额...请问怎么用 ruby 实现 1000!的末尾有多少个连续的 0

表示没听懂

(1..1000).each do |i|
  s = s * i
end  
c = 0
loop do 
  f = s % 10
  c += 1 if f == 0
  s = s / 10
  break if f != 0
end  
puts c #=> 249

法二

l = s.to_s.size
s  = s.to_s
c = 0
loop do
  c += 1 if s[l] == '0'
  l -= 1
  break if s[l] != '0'
end

puts c #=> 249

貌似是 249

num = (1..1000).reduce(&:*).to_s

num.size - num.reverse.to_i.to_s.size

# 或

num[/[0]*$/].size

不知所云

#3 楼 @mimosa 感谢大神的酷炫语法糖。。

这不是常见面试题吗?最傻的办法得出结果以后循环一下都不会吗?

标准方法是数 5 因子啊...

这题目的初衷是让你质因数分解吧

def count_zeros(n)
  zeros = 0
  five = 5
  while five < n
    zeros += n / five
    five *= 5
  end
  zeros
end
count_zeros(1000)
#=> 249

去做 1000 次乘法的我也是醉了。

楼上正解

常见面试题: https://leetcode.com/problems/factorial-trailing-zeroes/

n = 1000
[1,2,3,4].map{|i| n / 5 ** i}.inject(:+)
n = 1000
n<5?0:(1..Math.log(n,5)).to_a.map{|i| n / 5 ** i}.inject(:+)

#13 楼 @quakewang

def trailing_zeroes(n) # 尾随零
 num = n / 5
 num  == 0 ? 0 : num + trailing_zeroes(num)
end

(foo = lambda{ |n| n / 5 == 0 ? 0 : n /5 + foo.call(n/5)}).call(1000)

抛砖引玉

a = (1..1000).inject(0) do |sum, num|
    while(num%5==0)
        sum += 1
        num /= 5
    end
    sum
end

puts a
1000 / 5 + 1000 / 25 + 1000 / 125 + 1000 / 625
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