por ejemplo, tenemos en nuestro conjunto:

 bin/obj/Debug/CloudServerPrototype/ra.write.1.tlog 
 bin/obj/Debug/CloudServerPrototype/rc.write.1.tlog 
 bin/obj/Debug/vc100.idb 
 bin/obj/Debug/vc100.pdb 

Así que esto es lo que intenté en base a estagrate answer:

#include <iostream>
#include <algorithm>
#include <set>
#include <string>
#include <iterator>

using namespace std;

struct get_pertinent_part
{
    const std::string given_string;

    get_pertinent_part(const std::string& s)
        :given_string(s)
    {
    }

    std::string operator()(const std::string& s)
    {
        std::string::size_type first = 0;

        if (s.find(given_string) == 0)
        {
            first = given_string.length() + 1;
        }

        std::string::size_type count = std::string::npos;
        std::string::size_type pos = s.find_last_of("/");
        if (pos != std::string::npos && pos > first)
        {
            count = pos + 1 - first;
        }

        return s.substr(first, count);
    }
};

void directory_listning_without_directories_demo()
{
    set<string> output;
    set<string> demo_set;

    demo_set.insert("file1");
    demo_set.insert("file2");
    demo_set.insert("folder/file1");
    demo_set.insert("folder/file2");
    demo_set.insert("folder/folder/file1");
    demo_set.insert("folder/folder/file2");
    demo_set.insert("bin/obj/Debug/CloudServerPrototype/ra.write.1.tlog");
    demo_set.insert("bin/obj/Debug/CloudServerPrototype/rc.write.1.tlog");
    demo_set.insert("bin/obj/Debug/vc100.idb");
    demo_set.insert("bin/obj/Debug/vc100.pdb");


    std::transform(demo_set.begin(),
        demo_set.end(),
        std::inserter(output, output.end()),
        get_pertinent_part("bin/obj/Debug/"));

    std::copy(output.begin(),
        output.end(),
        std::ostream_iterator<std::string>(std::cout, "\n"));
}

int main()
{
    directory_listning_without_directories_demo();
    cin.get();
    return 0;
}

Estas salidas:

CloudServerPrototype/
file1
file2
folder/
folder/folder/
vc100.idb
vc100.pdb

y se nos da conbin/obj/Debug/cuerda. Queremos hacer cout:

vc100.idb 
vc100.pdb 
CloudServerPrototype/

¿Cómo hacer tal cosa?