Here is the list of HM/TM moves for Ruby & Sapphire.

Number	Price	Ability	Find it Here
TM 01	---	Focus Punch	Route 115
TM 02	---	Dragon Claw	Meteor Falls
TM 03	---	Water Pulse	Sootopolis City Gym
TM 04	---	Calm Mind	Mossdeep City Gym
TM 05	---	Roar	Route 114
TM 06	---	Toxic	Fiery Path
TM 07	---	Hail	Shoal Cave
TM 08	---	Bulk Up	Dewford Town Gym
TM 09	---	Bullet Seed	Route 104
TM 10	$3000ea	Hidden Power	Slateport City/Fortree City
TM 11	---	Sunny Day	Scorched Slab
TM 12	---	Taunt	Trick House
TM 13	4000coins	Ice Beam	Mauville City/Abandoned Ship
TM 14	$5500ea	Bilzzard	Lilycove Dept. Store
TM 15	$7500ea	Hyper Beam	Lilycove Dept. Store
TM 16	$3000ea	Light Screen	Lilycove Dept. Store
TM 17	$3000ea	Protect	Lilycove Dept. Store
TM 18	---	Rain Dance	Abandoned Ship
TM 19	---	Giga Drain	Route 123
TM 20	$3000ea	Safeguard	Lilycove Dept. Store
TM 21	---	Frustration	Pacifidlog Town
TM 22	---	Solarbeam	Safari Zone
TM 23	---	Iron Tail	Meteor Falls
TM 24	4000coins	Thunderbolt	Mauville City
TM 25	$5500ea	Thunder	Lilycove Dept. Store
TM 26	---	Earthquake	Seafloor Cave
TM 27	---	Return	Fallarbor Town/Pacifidlog Town
TM 28	---	Dig	Route 114
TM 29	3500coins	Psychic	Mauville City/Victory Road
TM 30	---	Shadow Ball	Mt. Pyre
TM 31	---	Brick Break	Sootopolis City
TM 32	1500coins	Double Team	Mauville City
TM 33	$3000ea	Reflect	Lilycove Dept. Store
TM 34	---	Shockwave	Mauville City Gym
TM 35	4000coins	Flamethrower	Mauville City
TM 36	---	Sludge Bomb	Dewford Town
TM 37	---	Sandstorm	Route 111
TM 38	$5500ea	Fire Blast	Lilycove Dept. Store
TM 39	---	Rock Tomb	Rustboro City Gym
TM 40	---	Aerial Ace	Fortree City Gym
TM 41	---	Torment	Slateport City
TM 42	---	Facade	Petalburg City Gym
TM 43	$3000ea	Secret Power	Slateport City/Route 111
TM 44	---	Rest	Lilycove City
TM 45	---	Attract	Verdanturf Town
TM 46	---	Thief	Slateport City
TM 47	---	Steel Wing	Granite Cave
TM 48	---	Skill Swap	Mt. Pyre
TM 49	---	Snatch	S.S. Tidal
TM 50	---	Overheat	Lavaridge Town
HM 01	---	Cut	Rustboro City
HM 02	---	Fly	Route 119
HM 03	---	Surf	Petalburg City
HM 04	---	Strength	Rusturf Tunnel
HM 05	---	Flash	Granite Cave
HM 06	---	Rock Smash	Mauville City
HM 07	---	Waterfall	Cave of Origin
HM 08	---	Dive	Mossdeep City