int main(){
        int MAX=10;
        for(int n=1;n<=MAX;n++){
                for(int k=1;k < n;k++){
                        for(int m=1;m<=n;m++){
                                if( (m*k)%n==0 && n%m != 0 && n%k!=0){
                                        printf("n = %d, k =  %d, m =  %d is a counterexample n",n,k,m);
                                }
                        }
                }
        }
}