Script to cat and dd last line!!! of each file

hi Guys,
Am new to this awesome forum, and yea i need some help here asap thnx :)

i have a directory with over 34000 text files, i need a script that will delete the last line of each of this file without me necessary opening the files.

illustration:-
file1 200 records
file2 130 records
file3 500 records
......etc

so i will need a script to go into each file and delete just the last line(last record) of each of this text files.

thnx for your help!!!