Well, the brute force solution is to attempt to initiate a connection with the database on each server. That will tell you whether it's running, though you could have timeout issues.
The more elegant (but more difficult... isn't that always the way?) solution would be to use WMI to connect to the remote machine and find out if the SQL server process is running.
与恶龙缠斗过久,自身亦成为恶龙；凝视深渊过久,深渊将回以凝视…
