Mike and gcd problem（思维）

Mike has a sequence A = [a1, a2, …, an] of length n. He considers the sequence B = [b1, b2, …, bn] beautiful if the gcd of all its elements is bigger than 1, i.e. .

Mike wants to change his sequence in order to make it beautiful. In one move he can choose an index i (1 ≤ i < n), delete numbers ai, ai + 1 and put numbers ai - ai + 1, ai + ai + 1 in their place instead, in this order. He wants perform as few operations as possible. Find the minimal number of operations to make sequence A beautiful if it’s possible, or tell him that it is impossible to do so.

is the biggest non-negative number d such that d divides bi for every i (1 ≤ i ≤ n).

Input
The first line contains a single integer n (2 ≤ n ≤ 100 000) — length of sequence A.

The second line contains n space-separated integers a1, a2, …, an (1 ≤ ai ≤ 109) — elements of sequence A.

Output
Output on the first line “YES” (without quotes) if it is possible to make sequence A beautiful by performing operations described above, and “NO” (without quotes) otherwise.

If the answer was “YES”, output the minimal number of moves needed to make sequence A beautiful.

Examples
Input
2
1 1
Output
YES
1
Input
3
6 2 4
Output
YES
0
Input
2
1 3
Output
YES
1
Note
In the first example you can simply make one move to obtain sequence [0, 2] with .

In the second example the gcd of the sequence is already greater than 1.
题意：给定一组序列，通过若干次变化是指成为一个美丽的序列。美丽序列的定义是，数组中所有数字的最大公因数大于1。问是否能转换成这样的一个序列，并且最少的变换次数是多少。
思路：一定可以转换成。
如果这个序列一开始就是最大公因数大于1，那么就不需要变换。如果不是的话，就有这样的几种情况。奇奇，偶偶，奇偶，偶奇。对于偶偶来说，不用管。对于其他三种情况来说
①奇奇：转换成偶偶，只需要一步。
②奇偶，偶奇：转换成偶偶需要两步。
因为求最少的步数，所以我们应该应该多转换奇奇，其次是奇偶，偶奇。
所以我们先找数组中的奇奇，然后再找奇偶，或者偶奇。
代码如下：

#include<bits/stdc++.h> #define ll long long using namespace std;const int maxx=1e5+100; int a[maxx]; int n;int main() {scanf("%d",&n);scanf("%d",&a[1]);int cnt=a[1];for(int i=2;i<=n;i++) {scanf("%d",&a[i]);cnt=__gcd(cnt,a[i]);}ll sum=0;if(cnt>1) {cout<<"YES"<<endl<<sum<<endl;return 0;}for(int i=1;i<n;i++){if((a[i]&1)&&(a[i+1]&1)) sum++,a[i]+=1,a[i+1]+=1;}for(int i=1;i<n;i++){if((a[i]+a[i+1])&1) sum+=2,a[i]=a[i+1]=2;//都转换成偶数。。}cout<<"YES"<<endl<<sum<<endl; }

努力加油a啊，(^o)/~

创作挑战赛新人创作奖励来咯，坚持创作打卡瓜分现金大奖

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