Java compiler error: “public type .. must be defined in its own file”?

I am trying to compile this:

public class DNSLookUp {
    public static void main(String[] args)   {
        InetAddress hostAddress;
        try  {
            hostAddress = InetAddress.getByName(args[0]);
            System.out.println (hostAddress.getHostAddress());
        }
        catch (UnknownHostException uhe)  {
            System.err.println("Unknown host: " + args[0]);
        }
    }
}

I used javac dns.java, but I am getting a mess of errors:

dns.java:1: error: The public type DNSLookUp must be defined in its own file
    public class DNSLookUp {
                 ^^^^^^^^^
dns.java:3: error: InetAddress cannot be resolved to a type
    InetAddress hostAddress;
    ^^^^^^^^^^^
dns.java:6: error: InetAddress cannot be resolved
    hostAddress = InetAddress.getByName(args[0]);
                  ^^^^^^^^^^^
dns.java:9: error: UnknownHostException cannot be resolved to a type
    catch (UnknownHostException uhe)  {
           ^^^^^^^^^^^^^^^^^^^^
4 problems (4 errors)

I have never compiled/done Java before. I only need this to test my other programs results. Any ideas? I am compiling on a Linux machine.