diff --git a/clang/lib/AST/Interp/Descriptor.cpp b/clang/lib/AST/Interp/Descriptor.cpp
--- a/clang/lib/AST/Interp/Descriptor.cpp
+++ b/clang/lib/AST/Interp/Descriptor.cpp
@@ -186,6 +186,11 @@
 }
 
 static BlockDtorFn getDtorPrim(PrimType Type) {
+  // Floating types are special. They are primitives, but need their
+  // destructor called, since they might allocate memory.
+  if (Type == PT_Float)
+    return dtorTy<PrimConv<PT_Float>::T>;
+
   COMPOSITE_TYPE_SWITCH(Type, return dtorTy<T>, return nullptr);
 }
 
diff --git a/clang/test/AST/Interp/floats.cpp b/clang/test/AST/Interp/floats.cpp
--- a/clang/test/AST/Interp/floats.cpp
+++ b/clang/test/AST/Interp/floats.cpp
@@ -125,3 +125,7 @@
   constexpr A<double> b{12};
   static_assert(a.f == 0.0, "");
 };
+
+namespace LongDouble {
+  constexpr long double ld = 3.1425926539;
+}