"inst_key.exe"utility is there in QTP setup files under <QTP setup files>LicenseServer\KeyInstallation.
Run that to know the locking code. No need to install software for that.
Also , if you dont have Setup files on all machines , copy that Utility along with 2 DLLs "lsapiw32.dll" ,"lsdcod32.dll" to other machines. You should be able to run that utility on any machine with these 3 files and get the locking code.
( HP is encouraging to use separate QTP Forum for customers who has HP support contract. Other similar HP customers and HP support Engineers will be participating in the Forum.