Remove calls to deprecated MessageLoop methods in chrome.

chrome/browser/extensions/activity_log/activity_log_browsertest.cc

Index: chrome/browser/extensions/activity_log/activity_log_browsertest.cc
diff --git a/chrome/browser/extensions/activity_log/activity_log_browsertest.cc b/chrome/browser/extensions/activity_log/activity_log_browsertest.cc
index 43664e4d6d39a44b0715c407e44148e084777d9e..b1f0387f7c10874e594b3a3550621f13d2ea7fe3 100644
--- a/chrome/browser/extensions/activity_log/activity_log_browsertest.cc
+++ b/chrome/browser/extensions/activity_log/activity_log_browsertest.cc
@@ -4,11 +4,11 @@
 
 #include <stdint.h>
 
+#include "base/callback.h"
 #include "base/location.h"
 #include "base/run_loop.h"
 #include "base/single_thread_task_runner.h"
 #include "base/strings/stringprintf.h"
-#include "base/threading/thread_task_runner_handle.h"
 #include "chrome/browser/extensions/activity_log/activity_log.h"
 #include "chrome/browser/extensions/extension_apitest.h"
 #include "chrome/browser/extensions/extension_browsertest.h"
@@ -42,10 +42,9 @@ class ActivityLogPrerenderTest : public ExtensionApiTest {
   static void Prerender_Arguments(
       const std::string& extension_id,
       uint16_t port,
+      const base::Closure& quit_when_idle_closure,
       std::unique_ptr<std::vector<scoped_refptr<Action>>> i) {
-    // This is to exit RunLoop (base::MessageLoop::current()->Run()) below
-    base::ThreadTaskRunnerHandle::Get()->PostTask(
-        FROM_HERE, base::MessageLoop::QuitWhenIdleClosure());
+    quit_when_idle_closure.Run();
 
     ASSERT_TRUE(i->size());
     scoped_refptr<Action> last = i->front();
@@ -112,18 +111,14 @@ IN_PROC_BROWSER_TEST_F(ActivityLogPrerenderTest, TestScriptInjected) {
 
   page_observer.Wait();
 
+  base::RunLoop run_loop;
   activity_log->GetFilteredActions(
-      ext->id(),
-      Action::ACTION_ANY,
-      "",
-      "",
-      "",
-      -1,
-      base::Bind(
-          ActivityLogPrerenderTest::Prerender_Arguments, ext->id(), port));
+      ext->id(), Action::ACTION_ANY, "", "", "", -1,
+      base::Bind(ActivityLogPrerenderTest::Prerender_Arguments, ext->id(), port,
+                 run_loop.QuitWhenIdleClosure()));
 
   // Allow invocation of Prerender_Arguments
-  base::RunLoop().Run();
+  run_loop.Run();
 }
 
 }  // namespace extensions