It’s even more important for an interface. Any user of your class will probably hold a pointer to the interface, not a pointer to the concrete implementation. When they come to delete it, if the destructor is non-virtual, they will call the interface’s destructor (or the compiler-provided default, if you didn’t specify one), not the derived class’s destructor. Instant memory leak.
For example
class Interface
{
virtual void doSomething() = 0;
};
class Derived : public Interface
{
Derived();
~Derived()
{
// Do some important cleanup...
}
};
void myFunc(void)
{
Interface* p = new Derived();
// The behaviour of the next line is undefined. It probably
// calls Interface::~Interface, not Derived::~Derived
delete p;
}