I could have a Titan in less than year
I just downloaded an excellent little program called EVEMon. It’s basically has an item/skill database for EVE and tells you how long it will take you to train skills. You can either select the skills specifically or select an item and it selects the skills necessary for that item. It also reads the XML format that the EVE website makes available so it knows which skills you already have. It also tells you if training any learning skills would make things quicker and the optimal order.
To fly a Leviathan and be able to operate an Oblivion (the Caldari doomsday weapon) will take, at best, 298 days.
PS. Just having an item and skill database readable outside of EVE in an app instead of on a website is quite handy.