Blackcoin is staked, not really mined. You don't try for hashes so Blackcoin needs very little CPU (not much more than creating an SSL connection, decrypting an email or hashing a file). So you can mine a CPU-miner coin on the same box that runs Blackcoin staking. However what Blackcoin, as any other coin, might need is some RAM. 1GB is maybe a little thin to run many coins on the same box.