简单找规律数学题Euler theorem

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题目：Problem - 6124
http://acm.hdu.edu.cn/showproblem.php?pid=6124
Euler theorem
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 524288/524288 K (Java/Others)
Total Submission(s): 601 Accepted Submission(s): 481

Problem Description

HazelFan is given two positive integers a,b， and he wants to calculate amodb. But now he forgets the value of b and only remember the value of a, please tell him the number of different possible results.

Input

The first line contains a positive integer T(1≤T≤5), denoting the number of test cases.
For each test case:
A single line contains a positive integer a(1≤a≤109).

Output

For each test case:
A single line contains a nonnegative integer, denoting the answer.

Sample Input

2
1
3

Sample Output

2
3

Source

2017 Multi-University Training Contest - Team 7

Recommend
题意：题意是a除以一个数，所得到的余数，有几种可能。
思路：找规律，发现，如果a是偶数，那么有a/2+1种可能，如果a是奇数，那么有a/2+2可能。这个结论，可以记下来，免得以后怀疑自己。
代码

#include<iostream>
#include<cstring>
#include<cstdio>
using namespace std;
int main(){int t;cin>>t;int n;while(t--){cin>>n;if(n%2==0)cout<<n/2+1<<endl;else cout<<n/2+2<<endl;}return 0;
}

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