Remove calls to deprecated MessageLoop methods on Windows and Linux.

chrome/browser/ui/webui/local_discovery/local_discovery_ui_browsertest.cc

Index: chrome/browser/ui/webui/local_discovery/local_discovery_ui_browsertest.cc
diff --git a/chrome/browser/ui/webui/local_discovery/local_discovery_ui_browsertest.cc b/chrome/browser/ui/webui/local_discovery/local_discovery_ui_browsertest.cc
index f5a37a17779f88e5ac8a38d223904805fe232054..2abb0cc27753c32cea6c6ddae54bd3f2b01a2904 100644
--- a/chrome/browser/ui/webui/local_discovery/local_discovery_ui_browsertest.cc
+++ b/chrome/browser/ui/webui/local_discovery/local_discovery_ui_browsertest.cc
@@ -13,6 +13,7 @@
 #include "base/location.h"
 #include "base/macros.h"
 #include "base/message_loop/message_loop.h"
+#include "base/run_loop.h"
 #include "base/single_thread_task_runner.h"
 #include "base/threading/thread_task_runner_handle.h"
 #include "build/build_config.h"
@@ -305,7 +306,7 @@ class TestMessageLoopCondition {
   void Wait() {
     while (!signaled_) {
       waiting_ = true;
-      base::MessageLoop::current()->Run();
+      base::RunLoop().Run();
       waiting_ = false;
     }
     signaled_ = false;
@@ -456,7 +457,7 @@ class LocalDiscoveryUITest : public WebUIBrowserTest {
     base::ThreadTaskRunnerHandle::Get()->PostDelayedTask(
         FROM_HERE, callback.callback(), time_period);
 
-    base::MessageLoop::current()->Run();
+    base::RunLoop().Run();
     callback.Cancel();
   }
 
@@ -502,7 +503,7 @@ IN_PROC_BROWSER_TEST_F(LocalDiscoveryUITest, AddRowTest) {
   test_service_discovery_client()->SimulateReceive(
       kAnnouncePacket, sizeof(kAnnouncePacket));
 
-  base::MessageLoop::current()->RunUntilIdle();
+  base::RunLoop().RunUntilIdle();
 
   EXPECT_TRUE(WebUIBrowserTest::RunJavascriptTest("checkOneDevice"));
 
@@ -525,7 +526,7 @@ IN_PROC_BROWSER_TEST_F(LocalDiscoveryUITest, RegisterTest) {
   test_service_discovery_client()->SimulateReceive(
       kAnnouncePacket, sizeof(kAnnouncePacket));
 
-  base::MessageLoop::current()->RunUntilIdle();
+  base::RunLoop().RunUntilIdle();
 
   EXPECT_TRUE(WebUIBrowserTest::RunJavascriptTest("checkOneDevice"));
 
@@ -578,7 +579,7 @@ IN_PROC_BROWSER_TEST_F(LocalDiscoveryUITest, RegisterTest) {
   test_service_discovery_client()->SimulateReceive(
       kAnnouncePacketRegistered, sizeof(kAnnouncePacketRegistered));
 
-  base::MessageLoop::current()->RunUntilIdle();
+  base::RunLoop().RunUntilIdle();
 
   EXPECT_TRUE(WebUIBrowserTest::RunJavascriptTest("expectRegisterDone"));
 }