Easiest way in is to drill.  Get a good set of bits (at least carbide tipped), start with a bit between 1/16" and 1/8".  Drill in the dead center of the keyhole.  This will be your pilot hole.  Then replace the bit with a 1/4" one.  It should go in relatively easily.  This should pop the screw on that holds the locking cam in place.  Then, use a flat blade screwdriver in the hole that you just drilled, and give it a turn and pull. It should pop right open.  When it's open, you can take off the lock and measure the length.  It usually is either a 3/4" or 7/8" lock.  You can easily order replacements relatively cheap from Bob Roberts.