If you're looking for a C++ solution, Kenton Varda submitted a patch to protobuf around August 2015 that adds support for writeDelimitedTo() and readDelimitedFrom() calls that will serialize/deserialize a sequence of proto messages to/from a file in a way that's compatible with the Java version of these calls. Unfortunately this patch hasn't been approved yet, so if you want the functionality you'll need to merge it yourself.
Another option is Google has open sourced protobuf file reading/writing code through other projects. The or-tools library, for example, contains the classes RecordReader and RecordWriter that serialize/deserialize a proto stream to a file.
If you would like stand-alone versions of these classes that have almost no external dependencies, I have a fork of or-tools that contains only these classes. See: https://github.com/moof2k/recordio
Reading and writing with these classes is straightforward:
File* file = File::Open("proto.log", "w");
RecordWriter writer(file);
writer.WriteProtocolMessage(msg1);
writer.WriteProtocolMessage(msg2);
...
writer.Close();