The website for the 1020-bed hostel in Copenhagen is online in English:
The cheapest dorm bed for HI members in off-season is 145.00 DKK ($27.22 USD)
In high-season it's 180.00 DKK ($33.79 USD)
The Danhostel site also says:
In 2008, 96 hostels are affiliated with the Danhostel chain...No matter where you are in Denmark, you are never more than 35 km away from the nearest hostel!