I'm hashing a file with one or more hash algorithms. When I tried to parametrize which hash types I want, it got a lot messier than I was hoping.

I think I'm missing a chance to make better use of generics or LINQ. I also don't like that I have to use a Type[] as the parameter instead of limiting it to a more specific set of type (HashAlgorithm descendants), I'd like to specify types as the parameter and let this method do the constructing, but maybe this would look better if I had the caller new-up instances of HashAlgorithm to pass in?

public List<string> ComputeMultipleHashesOnFile(string filename, Type[] hashClassTypes)
        {
            var hashClassInstances = new List<HashAlgorithm>();
            var cryptoStreams = new List<CryptoStream>();

            FileStream fs = File.OpenRead(filename);
            Stream cryptoStream = fs;

            foreach (var hashClassType in hashClassTypes)
            {
                object obj = Activator.CreateInstance(hashClassType);
                var cs = new CryptoStream(cryptoStream, (HashAlgorithm)obj, CryptoStreamMode.Read);

                hashClassInstances.Add((HashAlgorithm)obj);
                cryptoStreams.Add(cs);

                cryptoStream = cs;
            }

            CryptoStream cs1 = cryptoStreams.Last();

            byte[] scratch = new byte[1 << 16];
            int bytesRead;
            do { bytesRead = cs1.Read(scratch, 0, scratch.Length); }
            while (bytesRead > 0);

            foreach (var stream in cryptoStreams)
            {
                stream.Close();
            }

            foreach (var hashClassInstance in hashClassInstances)
            {
                Console.WriteLine("{0} hash = {1}", hashClassInstance.ToString(), HexStr(hashClassInstance.Hash).ToLower());
            }
        }