Macfadyen's advice would be spot on if you were an owner. Unfortunately, as a renter, while you can approach the EC and ask them to do something, if they refuse, you really need to go to your landlord and ask them to put pressure on the EC to get the lifts properly maintained.
The Owners Corporation has an absolute legal duty to repair and maintain common property so your landlord has every right to demand that this be fixed.
If they are reluctant to take action, go to Fair Trading and ask them to order a rent reduction for loss of amenity until such times as the problem is fixed.