A. k-rounding
time limit per test:1 second
memory limit per test:256 megabytes
input:standard input
output:standard output
For a given positive integer n denote its k-rounding as the minimum positive integer x, such that x ends with k or more zeros in base 10 and is divisible by n.
For example, 4-rounding of 375 is 375·80 = 30000. 30000 is the minimum integer such that it ends with 4 or more zeros and is divisible by 375.
Write a program that will perform the k-rounding of n.
Input
The only line contains two integers n and k (1 ≤ n ≤ 109, 0 ≤ k ≤ 8).
Output
Print the k-rounding of n.
Examples
Input
375 4
Output
30000
Input
10000 1
Output
10000
Input
38101 0
Output
38101
Input
123456789 8
Output
12345678900000000
题目链接：http://codeforces.com/contest/861/problem/A
题意： x的末尾有k个以上的0; 且x是n的倍数，x/(10^k) 是 n的倍数，x是10^k的倍数
下面给出AC代码：
1 #include <bits/stdc++.h> 2 using namespace std; 3 typedef long long ll; 4 ll gcd(ll a,ll b) 5 { 6 return b==0?a:gcd(b,a%b); 7 } 8 int main(void) 9 { 10 ll n,k; 11 cin>>n>>k; 12 ll temp=1; 13 for(ll i=1;i<=k;i++) 14 temp*=10; 15 cout<<n*temp/gcd(temp,n); 16 }
