Come on, that's basic DOSBox knowledge. You run it exactly as you would do in the desktop version.
1. copy the game files to your phone, e.g. /sdcard/Games/LSL
2. open dosbox.conf (/sdcard)
3. set memsize=16
4. set cycles=max or whatever cycle speed you like; the S3 should be capable of 25000-30000 cycles, at least my Note 2 is.
5. scroll to the end of the file and modify the line that says "mount c: /sdcard/" to "mount c:/sdcard/games/" (without the quotes of course)
6. Start DOSBox Turbo, type "cd lsl" + [Enter]
7. run install (or setup, whatever it's called) to configure sound. DTurbo uses Sound Blaster 16 at IRQ7 by default.
8. Run the game.
If you want to add this to the launcher: create a new profile, long-press the profile icon, chose "Edit profile", go to DosBox Settings, tick "Manual Mode", chose config location (unless you want to overwrite your default dosbox.conf), and do the same steps as above 3. - 5., and add the lines to start the game in the [autoexec] section.
If it still doesn't work you're doing something wrong; DTurbo is based on quite recent SVN, and it's exactly as compatible as the Windows versiion.
Good luck...