codeforces-solutions-cpp/Minimum_LCM.cpp at main · ankitdutta428/codeforces-solutions-cpp · GitHub

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#include<bits/stdc++.h>
using namespace std;
#define ull unsigned long long int
#define ll long long
#define f(n) for(int i=0;i<n;i++)
#define g(n) for(int j=0;j<n;j++)
#define int long long
#define endl '\n'
int i,j,k;
const int M = 1e9+7;
int arr[200010]={0};
vector<int> a,b,x;
vector<int> v={1,3,6,10,15};
int dx[4]={1,-1,1,-1}, dy[4]={-1,-1,1,1};


bool issquare(int n){
    long long low=0,high=n;
    long long mid;
    while(low<=high){
        mid=(low+high)/2;
        if(mid*mid==n) return true;
        else if(mid*mid<n){
            low=mid+1;
        }
        else high=mid-1;
    }
    return false;
}

bool iscube(int n){
    long long low=0, high=n;
    long long mid;
    while(low<=high){
        mid=(low+high)/2;
        if(mid*mid*mid==n) return true;
        else if(mid*mid*mid<n){
            low=mid+1;
        }
        else high=mid-1;
    }
    return false;
}
/*vector<int> bfsOfGraph(int V, vector<int> adj[]) {
        int visit[V]={0};
        visit[0]=1;
        queue<int> q;
        q.push(0);

        vector<int> bfs;
        while(!q.empty()){
            int node = q.front();
            q.pop();
            bfs.push_back(node);

            for(auto i:adj[node]){
                if(!visit[i]){
                    q.push(i);
                    visit[i]=1;
                }
            }
        }

        return bfs;
}

void dfs(int node, vector<int> adj[], int vis[], vector<int> &ls){
        vis[node]=1;
        ls.push_back(node);
        for(auto i:adj[node]){
            if(!vis[i]) dfs(i,adj,vis,ls);
        }
}

vector<int> dfsOfGraph(int V, vector<int> adj[]) {
        int vis[V]={0};
        int start=0;
        vector<int> ls;
        dfs(start,adj,vis,ls);

        return ls;

}*/

/*bool dfs_cyclecheck(int node, int parent, vector<int> adj[], int vis[]){
    vis[node]=1;
    for(auto i:adj[node]){
        if(!vis[node]){
            if(dfs_cyclecheck(i,node,adj,vis)==true) return true;
        }
        else if(parent!=i){
            return true;
        }
    }
    return false;
}*/

void solve(){
    int n;
    cin>>n;

    if(n%2==0) cout<<n/2<<" "<<n/2<<endl;
    else{
        int min_num=INT_MAX;
        int x,y;
        for(int i=1;i*i<=n;i++){
            if(n%i==0 and i!=1){
                int x=lcm(i,n-i);
                int y=lcm(n/i,n-n/i);

                min_num=min(min_num, min(x,y));
            }
            else if(i==1){
                min_num=n-1;
            }
        }

        cout<<min_num<<" "<<n-min_num<<endl;
    }
}


signed main(){
    //ifstream in("input.txt");
    //ofstream out("output.txt");
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    int t=1;
    cin>>t;
    while(t--) solve();
}