Remove calls to deprecated MessageLoop methods on Windows and Linux.

ash/shell/content/client/shell_browser_main_parts.cc

 // Copyright (c) 2012 The Chromium Authors. All rights reserved.
 // Use of this source code is governed by a BSD-style license that can be
 // found in the LICENSE file.
 
 #include "ash/shell/content/client/shell_browser_main_parts.h"
 
 #include "ash/common/ash_switches.h"
 #include "ash/common/login_status.h"
 #include "ash/common/material_design/material_design_controller.h"
 #include "ash/content/shell_content_state.h"
 #include "ash/shell.h"
 #include "ash/shell/content/shell_content_state_impl.h"
 #include "ash/shell/shell_delegate_impl.h"
 #include "ash/shell/window_watcher.h"
 #include "ash/shell_init_params.h"
 #include "base/bind.h"
 #include "base/command_line.h"
 #include "base/i18n/icu_util.h"
 #include "base/message_loop/message_loop.h"
+#include "base/run_loop.h"
 #include "base/strings/string_number_conversions.h"
 #include "base/threading/thread.h"
 #include "base/threading/thread_restrictions.h"
 #include "content/public/browser/browser_thread.h"
 #include "content/public/browser/context_factory.h"
 #include "content/public/common/content_switches.h"
 #include "content/shell/browser/shell_browser_context.h"
 #include "content/shell/browser/shell_net_log.h"
 #include "net/base/net_module.h"
 #include "ui/aura/env.h"
@@ skipping 134 matching lines @@
   views_delegate_.reset();
 
   // The keyboard may have created a WebContents. The WebContents is destroyed
   // with the UI, and it needs the BrowserContext to be alive during its
   // destruction. So destroy all of the UI elements before destroying the
   // browser context.
   browser_context_.reset();
 }
 
 bool ShellBrowserMainParts::MainMessageLoopRun(int* result_code) {
-  base::MessageLoop::current()->Run();
+  base::RunLoop().Run();
   return true;
 }
 
 }  // namespace shell
 }  // namespace ash