Educational Codeforces Round 11 A. Co-prime Array 水题

A. Co-prime Array

题目连接：

http://www.codeforces.com/contest/660/problem/A

Description

You are given an array of n elements, you must make it a co-prime array in as few moves as possible.

In each move you can insert any positive integral number you want not greater than 109 in any place in the array.

An array is co-prime if any two adjacent numbers of it are co-prime.

In the number theory, two integers a and b are said to be co-prime if the only positive integer that divides both of them is 1.

Input

The first line contains integer n (1 ≤ n ≤ 1000) — the number of elements in the given array.

The second line contains n integers ai (1 ≤ ai ≤ 109) — the elements of the array a.

Output

Print integer k on the first line — the least number of elements needed to add to the array a to make it co-prime.

The second line should contain n + k integers aj — the elements of the array a after adding k elements to it. Note that the new array should be co-prime, so any two adjacent values should be co-prime. Also the new array should be got from the original array a by adding k elements to it.

If there are multiple answers you can print any one of them.

Sample Input

3

2 7 28

Sample Output

1

2 7 9 28

Hint

题意

给你一个序列，让你插入最小的数，使得任意相邻的两个数都互质

让你输出最后的序列长什么样

题解：

显然插入的数最优就是1嘛，1和任何数都互质

然后我们贪心的去插就好了，能插就插

代码

#include<bits/stdc++.h>
using namespace std;
const int maxn = 1e5+5;
int a[maxn];
int gcd(int a,int b)
{
    if(b==0)return a;
    return gcd(b,a%b);
}
vector<pair<int,int> >P;
int main()
{
    int n;scanf("%d",&n);
    for(int i=1;i<=n;i++)
        scanf("%d",&a[i]);
    for(int i=1;i<n;i++)
    {
        if(gcd(a[i],a[i+1])!=1)
            P.push_back(make_pair(1,i));
    }
    cout<<P.size()<<endl;
    int j = 0;
    for(int i=1;i<=n;i++)
    {
        cout<<a[i]<<" ";
        if(j<P.size()&&P[j].second==i)
        {
            cout<<P[j].first<<" ";
            j++;
        }
    }
    cout<<endl;
}