Description
There are many unsolvable problem in the world.It could be about one or about zero.But this time it is about bigger number. Given an integer n(2 <= n <= 10 9).We should find a pair of positive integer a, b so that a + b = n and [a, b] is as large as possible. [a, b] denote the least common multiplier of a, b.
Input
The first line contains integer T(1<= T<= 10000),denote the number of the test cases. For each test cases,the first line contains an integer n.
Output
For each test cases, print the maximum [a,b] in a line.
Sample Input
3 2 3 4
Sample Output
1 2 3
#includeusing namespace std;int gcd(int a,int b){ int c=b%a; while(c>0){ b=a; a=c; c=b%a; }return a;}int main(){ int t;cin>>t;int n; while(t--){ __int64 sum=0,i; cin>>n; for(i=n/2;i>0;i--){ if(gcd(i,n-i)==1) { sum=i*(n-i); break; } } cout< <